Space of modular forms of level 3240, weight 1, and Character 3240.ba

• Label: 3240.1.ba
• Level: $3240$
• Weight: $1$
• Character orbit: 3240.ba
• Rep. character: $\chi_{3240}(701,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $648$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$3240 = 2^{3} \cdot 3^{4} \cdot 5$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	3240.ba (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$72$
Character field:			$\Q(\zeta_{6})$
Newform subspaces:			$0$
Sturm bound:			$648$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(3240, [\chi])$.

	Total	New	Old
Modular forms	56	0	56
Cusp forms	8	0	8
Eisenstein series	48	0	48

The following table gives the dimensions of subspaces with specified projective image type.

	$D_n$	$A_4$	$S_4$	$A_5$
Dimension	0	0	0	0

Decomposition of $S_{1}^{\mathrm{old}}(3240, [\chi])$ into lower level spaces

$S_{1}^{\mathrm{old}}(3240, [\chi]) \simeq$ $S_{1}^{\mathrm{new}}(648, [\chi])$$^{\oplus 2}$